List of top Engineering Mathematics Questions on Complex Functions

Find the residue of the function \[ f(z) = \frac{1}{z^2 + 1} \] at the pole $z = i$.
The residue of \( f(z) = \frac{z^2}{(z-1)^3(z-2)(z-3)} \) at the pole \(z=1\) is
The number of non-differentiable points for the function $f(x) = \min\left\{x - \lfloor x \rfloor, 1 - x + \lfloor x \rfloor\right\}$ in $(-2, 2)$ is ($\lfloor x \rfloor$ represents integral part of $x$)
The only function from the following that is analytic is: